853152768 has 132 divisors (see below), whose sum is σ = 2653329588. Its totient is φ = 262471680.

The previous prime is 853152761. The next prime is 853152779. The reversal of 853152768 is 867251358.

853152768 is a `hidden beast` number, since 8 + 531 + 52 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61968384 + 791184384 = 7872^2 + 28128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853152761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116248 + ... + 123368.

Almost surely, 2^853152768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326664794).

853152768 is an abundant number, since it is smaller than the sum of its proper divisors (1800176820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

853152768 is a wasteful number, since it uses less digits than its factorization.

853152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7139 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 853152768 is about 29208.7789542802. The cubic root of 853152768 is about 948.4379752671.

The spelling of 853152768 in words is "eight hundred fifty-three million, one hundred fifty-two thousand, seven hundred sixty-eight".